GeoGebra

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Author:Juan Carlos Ponce Campuzano
Topic:Functions

What is domain coloring?

References

  1. Breda, A. Trocado, A. & Santos, J. (2013). O GeoGebra para além da segunda dimensão. Indagatio Didactica, 5(1). Accessed 12 June 2018 
  2. Davis, J. E. (2017). Complex Domain Coloring, Available online 
  3. Crone, L. (s.f) Color graphs of complex functions. 
  4. Farris, F. (1998). Review of Visual Complex Analysis. By Tristan Needham. The American Mathematical Monthly, 105(6), 570-576. 
  5. Farris, F. A. (n.d.). Visualizing complex-valued functions in the plane. 
  6. Farris, F. A. (2017). Domain Coloring and the Argument Principle. PRIMUS 27:8-9, 827-844, DOI: 10.1080/10511970.2016.1234526
  7. Losada Liste, R. (2014). El color dinámico de GeoGebra. Gaceta De La Real Sociedad Matematica Española, 17, 525–547, Madrid.
  8. Lundmark, H. (2004). Visualizing complex analytic functions using domain coloring. 
  9. Needham, T. (1997). Visual Complex Analysis. Oxford University Press, Oxford.
  10. Marsden, J. E. & Hoffman, M. J. (1987) Basic Complex Analysis. (2nd ed.) W. H. Freeman and Co, New York.
  11. Poelke, K. & Polthier, K. (2012) Domain coloring of complex functions: An implementation-oriented introduction. IEEE Computer Graphics Math & Applications 32(5), pp. 90-97, DOI: 10.1109/MCG.2012.100
  12. Ponce Campuzano, J. C. (2019). Representación de funciones complejas con GeoGebra usando el método de dominio coloreado. [Representation of complex functions with GeoGebra using domain coloring.] Números Didáctica de las Matemáticas. Vol. 101. pp. 85-101.
  13. Ponce Campuzano, J. C. (2020). Una introducción al método de dominio colorado con GeoGebra para la visualización y estudio de funciones complejas. [An introduction to the method domain coloring with GeoGebra for visualizing and studying complex functions] Revista do Instituto GeoGebra de São Paulo. v. 9, n. 1, p. 101-119.
  14. Ponce Campuzano, J. C. (2021) Domain colouring for visualising and exploring the beauty of complex functions. Australian Mathematical Society Gazette. Vol. 48, No. 4, pp. 162-170.
  15. Ponce Campuzano, J. C. (2019) The use of phase portraits to visualize and investigate isolated singular points of complex functions Journal International Journal of Mathematical Education in Science and Technology. 50(7), pp. 999-1010, DOI: 10.1080/0020739X.2019.1656829
  16. Thaller, B. (1998). Visualization of complex functions, Mathematica J., Vol. 7, issue 2, 
  17. Velleman, D. J. (2015). The Fundamental Theorem of Algebra: A Visual Approach. The Mathematical Intelligencer. 37, 12–21. 
  18. Wegert, E. (2010). Phase diagrams of meromorphic functions. Computational Methods and Function Theory. 10, 639-661. 
  19. Wegert, E. (2012). Visual Complex Functions: An introduction with phase portraits. New York: Springer Basel. 
  20. Wegert, E. (2016). Visual exploration of complex functions. In T. Qian and L. R. Rodino (eds.), Mathematical analysis, probability and applications – Plenary Lectures SPMS (Vol. 177. pp. 253–279). Switzerland: Springer International Publishing.
  21. Wegert, E. & Semmler, G. (2011). Phase plots of complex functions: a journey in illustration. Notices American Mathematical Society, 58, 768-780. 
  22. Wikipedia: Domain Coloring 

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